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arXiv · 2202.11442

The Standard Quantized Matrix Algebra $M_q(n)$ is A Solvable Polynomial Algebra

Rabigul Tuniyaz
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Abstract

Let $M_q(n)$ be the standard quantized matrix algebra, introduced by Faddeev, Reshetikhin, and Takhtajan. It is shown, by constructing an appropriate monomial ordering $\prec$ on its PBW $K$-basis ${\cal B}$ , that $M_q(n)$ is a solvable polynomial algebra. Consequently, further structural properties of $M_q(n)$ and their modules may be established and realized in a constructive-computational way.

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Rabigul Tuniyaz. 2022-02-23. The Standard Quantized Matrix Algebra $M_q(n)$ is A Solvable Polynomial Algebra. https://arxiv.org/abs/2202.11442

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